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Published in:
2018 | OriginalPaper | Chapter
2. Numerical Integration
Author : Buntara S. Gan
Published in: An Isogeometric Approach to Beam Structures
Publisher: Springer International Publishing
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Abstract
In this chapter, we will learn about the procedure, algorithm, and technique in the numerical analysis to obtain solutions of the definite integral of a line. In the finite element formulation of general beam element, we will deal with curvilinear coordinate, Jacobian operator, and curvature of a general curved beam element where the integration must be done numerically. To stick with the most basic concepts of beam element formulation using numerical integration, we will focus our description on a one-dimensional integration using the Gauss-Legendre quadrature method.